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Energy trapping in loaded string models with long- and short-range couplings.

Ilya V Pogorelov1, Henry E Kandrup

  • 1Accelerator and Fusion Research Division, M/S 71J 100A, Lawrence Berkeley National Laboratory, 1 Cyclotron Rd., Berkeley, California 94720, USA. ivpogorelov@lbl.gov

Annals of the New York Academy of Sciences
|June 28, 2005
PubMed
Summary

This study shows that system energy can be trapped in one degree of freedom for extended periods in loaded string models. Increased system connectance and coupling strength enhance the robustness of this energy trapping phenomenon.

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Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Understanding energy dynamics in complex systems is crucial for various scientific fields.
  • Simple models are valuable for elucidating fundamental physical phenomena.

Purpose of the Study:

  • To investigate the possibility of long-term energy trapping in a single degree of freedom within loaded string models.
  • To determine factors influencing the robustness of this energy trapping.

Main Methods:

  • Analysis of simple loaded string models.
  • Examination of energy dynamics across system degrees of freedom.
  • Investigation of the role of system connectance and coupling strength.

Main Results:

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  • Demonstrated the feasibility of trapping most system energy in a single degree of freedom for extended durations.
  • Showcased that increased system connectance enhances the robustness of energy trapping.
  • Identified coupling strength as a factor that also strengthens the trapping phenomenon.

Conclusions:

  • Loaded string models can exhibit long-term energy localization in specific degrees of freedom.
  • System connectance and coupling strength are key parameters for controlling and enhancing energy trapping robustness.